L'IECL

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Memristor drift-diffusion systems for brain-inspired neuromorphic computing

4 novembre 2025 @ 10:45 – 11:45 – More than 50 years ago, Moore predicted that the number of transistors on a microchip doubles every two years. This exponential growth is approaching its physical limit, highlighting the need for alternative computing paradigms. One promising avenue is neuromorphic computing, which aims to emulate the structure and function of the human brain. A key enabling […]

Journée scientifique du pôle AM2I – Introduction à la géométrie des tenseurs

3 novembre 2025 @ 10:00 – 17:00 – L’équipe de géométrie de l’IECL et le projet SiMul du CRAN organisent le 3 novembre prochain une journée commune du pôle AM2I, dédiée à la géométrie des variétés de tenseurs et à leurs applications. Cette journée de conférence se veut une introduction à cette thématique en plein essor, à l’intersection entre la géométrie algébrique et […]

Unique continuation for semilinear waves and Schrödinger equations under the geometric control condition

21 octobre 2025 @ 10:45 – 11:45 – In this talk, I will present recent results on unique continuation for semilinear wave and Schrödinger equations with analytic nonlinearities. After recalling some motivation and classical results on the topic, I will describe a new method, introduced in a joint work with Camille Laurent (CNRS, LMR), that relies on analyticity-in-time regularization in finite time for […]

Morse index stability for Yang-Mills connections

20 octobre 2025 @ 15:30 – 16:30 – We investigate the stability of the Morse index for a sequence of Yang–Mills connections on closed 4-manifolds under bubble-tree convergence. As critical points of a conformally invariant energy, Yang–Mills connections share close ties with harmonic maps in various respects. At the same time, their analysis is simpler provided one works in a suitable gauge, namely […]

Revêtements Galoisiens rationnels entre variétés Calabi-Yau

20 octobre 2025 @ 14:00 – 15:00 – Entre variétés à canonique trivial de la même dimension il y a très peu de morphismes dominants, car ils ne peuvent pas ramifier. Par contre, il y a beaucoup d’applications rationnelles dominantes. Parmi elles, celles qui sont Galoisiennes sont les plus géométriques, car elles permettent de voir le codomaine comme un quotient du domaine par […]

Séminaire: The 1D periodic Schrödinger equation with concentrated nonlinearity

17 octobre 2025 @ 11:00 – 12:00 – The Schrödinger equation with concentrated nonlinearity is an effective model for a quantum gas with an impurity. Its nonlinearity consists of a Dirac delta multiplied by the standard power-type nonlinearity. In this talk, I will discuss some aspects of its well-posedness on a circle for regular initial conditions. The proof is based on an inviscid […]

Random covering and Littlewood Conjecture

16 octobre 2025 @ 14:30 – 15:30 – Assume that $\omega_1, \ldots, \omega_n$ are i.i.d. uniform random points in $[0,1]$, which serve as the centers of shrinking intervals of given lengths $\ell_1 \ge \cdots \ge \ell_n$. The Dvoretzky covering problem asks for necessary and sufficient conditions on the sequence $(\ell_n)$ under which these random intervals cover $[0,1]$ infinitely often, almost surely. The problem […]